Theorems on the Prevalence Threshold and the Geometry of Screening Curves: A Bayesian Approach to Clinical Decision-Making

Balayla, Jacques

Theorems on the Prevalence Threshold and the Geometry of Screening Curves: A Bayesian Approach to Clinical Decision-Making
  • 出版商: Springer
  • 出版日期: 2024-11-10
  • 售價: $4,350
  • 貴賓價: 9.5 折 $4,133
  • 語言: 英文
  • 頁數: 377
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031714512
  • ISBN-13: 9783031714511
  • 相關分類: 機率統計學 Probability-and-statistics

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商品描述

In Theorems on the Prevalence Threshold and the Geometry of Screening Curves, the author explores the mathematical underpinnings of screening and diagnostic testing, offering a unique and novel perspective which employs classical differential geometry and Bayesian theory to elucidate critical aspects of clinical decision-making. Taking the reader on a mathematical journey which bridges these seemingly unrelated worlds, the author presents a quantifiable framework on clinical judgement by introducing the "prevalence threshold" - a novel statistical parameter derived from Bayesian principles by means of the study of the geometry of screening curves. As the prevalence threshold demarcates the pretest probability level beyond which additional information ceases to significantly enhance the yield and reliability of a clinical assessment, it may serve as a benchmark for confidence in clinical decision-making. Given the theorems herein described, readers will find comprehensive analyses and insightful explorations of how these geometric concepts apply to real-world diagnostic scenarios, allowing the clinician to navigate clinical care more effectively at both the individual and public health levels.

商品描述(中文翻譯)

在《篩檢曲線的流行病學閾值與幾何學定理》中，作者探討了篩檢和診斷測試的數學基礎，提供了一種獨特且新穎的視角，運用古典微分幾何和貝葉斯理論來闡明臨床決策中的關鍵方面。作者帶領讀者踏上一段數學之旅，橋接這些看似無關的領域，通過引入「流行病學閾值」這一新穎的統計參數，提出了一個可量化的臨床判斷框架。流行病學閾值劃定了在此之前的測試概率水平，超過該水平後，額外的信息將不再顯著提升臨床評估的產出和可靠性，因此它可以作為臨床決策信心的基準。根據本文所描述的定理，讀者將發現對這些幾何概念如何應用於現實診斷情境的全面分析和深刻探索，使臨床醫生能夠在個人和公共健康層面上更有效地導航臨床護理。

作者簡介

Dr. Jacques Balayla MD, MPH is a board-certified Obstetrician-Gynecologist. He obtained his medical degree from McGill University in 2012, where he went on to complete subspecialty training in Obstetrics and Gynaecology. He is now a faculty lecturer and Osler fellow in the department of Obstetrics and Gynecology at McGill University and is a clinical investigator at the Lady Davis Institute (LDI) of the Jewish General Hospital in Montreal, Canada. During his training, Dr. Balayla obtained a certification in Human Genetics with distinction at Harvard University. Likewise, he graduated from the Clinician-Investigator Program (CIP) from the Royal College of Physicians and Surgeons of Canada with honours and obtained a Master of Public Health (MPH) degree with honours at the University of Montreal's School of Public Health (ESPUM). Dr. Balayla has been active in clinical research for over 14 years and has been the recipient of numerous honours and recognitions for his work. Most notably, the Pregnancy Foundation, and the Society for Maternal-Fetal Medicine awarded Dr. Balayla the prestigious ``Quilligan Scholar" title, for his promise as a future leader in Obstetrics and Perinatology. Dr. Balayla has also been recognized by the Quebec Medical Association (QMA) as the ``Emerging Medical Professional of the Year" as well as by his Alma Matter, where he received the ``McGill Alumni Global (MAG) - Young Alumni Award" for having made extraordinary contributions to McGill University, fellow alumni and Society.

作者簡介(中文翻譯)

Dr. Jacques Balayla MD, MPH 是一位經過認證的婦產科醫師。他於2012年從麥吉爾大學獲得醫學學位，隨後完成婦產科的專科訓練。目前，他是麥吉爾大學婦產科系的講師及Osler研究員，同時也是加拿大蒙特利爾猶太總醫院Lady Davis Institute (LDI)的臨床研究員。在訓練期間，Balayla醫生在哈佛大學獲得人類遺傳學的優異證書。此外，他以優異的成績畢業於加拿大皇家內科醫師及外科醫師學院的臨床研究員計畫 (CIP)，並在蒙特利爾公共衛生學校 (ESPUM) 獲得公共衛生碩士 (MPH) 學位。Balayla醫生在臨床研究方面活躍超過14年，並因其工作獲得多項榮譽和認可。最值得注意的是，懷孕基金會和母胎醫學學會授予Balayla醫生「Quilligan Scholar」的榮譽稱號，以表彰他作為婦產科和圍產醫學未來領導者的潛力。Balayla醫生也被魁北克醫學會 (QMA) 認可為「年度新興醫療專業人員」，並且在他的母校獲得「麥吉爾校友全球 (MAG) - 年輕校友獎」，以表彰他對麥吉爾大學、校友及社會的卓越貢獻。

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